0
A polynomial is really an algebraic expression that consists of two or more monomials. A monomial is a number, a variable, or a product of a number with non-negative exponents. Some examples of polynomials are:
2x+3y-1;3bc+7cd-y;7mny-my+n
To be exact, polynomials is any expression with the lowest power of unknown as 0 or more. 6z+5, 5x4+9x-1 are some examples of polynomials. However, if the unknown is in the denominator, it is not a polynomial. Also, if the expression has a negative power like 3-2, it will become a fraction when you remove the negative sign (3-2 = 1/32).-42 is a polynomial because it is also -42x0 except that people do not need to write the x0 since x0 = 1 and when you multiply -42x0, it still ends up becoming -42.
Still curious? Ask our experts.
Chat with our AI personalities
Vivi
Jordan
Taigawhen the co-efficient of variable in each term is a real number and the exponent of variable in each term is a whole number.
A polynomial can have constants (like 3, -20) variables (like x and y) exponents (like the 2 in y2) that can be combined using addition, subtraction, multiplication and division.It is important to keep in mind that except division by a variable (so something like 2/x).
Also, polynomials of a variable are easy to graph, as they have smooth and continuous lines.
Add your answer:
Earn +20 pts
How can i Differentiate between an algebraic expression and polynomial?
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.
Are all algebraic expression a polynomial expression?
Not really.For example: x can be considered and algebraic expression by itself, however it is only a single variable, so by definition it is not a polynomial expression (multiple-number expression).
When can an algebraic expression be called polynomial?
if it has parentheses
What are the terms in algebraic expression?
monomial binomial trinomial polynomial
What algebraic expression has no like terms and no parentheses?
A polynomial is one possible answer.
